Topological aspects of the dynamical moduli space of rational maps
نویسندگان
چکیده
We investigate the topology of space M\"obius conjugacy classes degree $d$ rational maps on Riemann sphere. show that it is rationally acyclic and we compute its fundamental group. As a byproduct, also obtain ranks some higher homotopy groups parameter allowing us to extend previously known range. Moreover, this not nilpotent.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108209